61480575830322 has 192 divisors, whose sum is σ = 156574617292800. Its totient is φ = 17846402112000.

The previous prime is 61480575830209. The next prime is 61480575830341. The reversal of 61480575830322 is 22303857508416.

61480575830322 is a `hidden beast` number, since 6 + 1 + 4 + 8 + 0 + 57 + 583 + 0 + 3 + 2 + 2 = 666.

It is a super-2 number, since 2×61480575830322² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22787322 + ... + 25342122.

It is an arithmetic number, because the mean of its divisors is an integer number (815492798400).

Almost surely, 2^{61480575830322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61480575830322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78287308646400).

61480575830322 is an abundant number, since it is smaller than the sum of its proper divisors (95094041462478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61480575830322 is a wasteful number, since it uses less digits than its factorization.

61480575830322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554990 (or 2554973 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 61480575830322 in words is "sixty-one trillion, four hundred eighty billion, five hundred seventy-five million, eight hundred thirty thousand, three hundred twenty-two".